Do we think? When Froome/Sky went long, he did most of the damage the other side of the Finestre. I think his advantage over the top was about 30 seconds. Not to be sniffed at, but he wasn't minutes clear of Dumoulin et al. Obviously Yates lost huge time there but that was probably as much down to him cracking as Froome attacking.
Yes Froome ended up putting 3min ish into Carapaz, Dumoulin, Pinot and Lopez, but most of that was those 4 and other chasers not wanting to do the work to chase back the initial small gap / wanting to wait for the odd domestique to help.... Froome just created the gap over the gravel section and then got his head down on the descent and remaining kms. He'd also set up an army of team Sky with fuel for him at key points, which Dumoulin and co probably hadnt.
Yates was almost 40 mins back just ahead of the Autobus, having cracked well before Froome took off IIRC